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204003680 = 2551319733
BaseRepresentation
bin11000010100011…
…01100101100000
3112012212110102212
430022031211200
5404211104210
632124301252
75025000626
oct1412154540
9465773385
10204003680
11a5177a91
12583a1828
133335974a
141d145516
1512d9a805
hexc28d960

204003680 has 48 divisors (see below), whose sum is σ = 485687664. Its totient is φ = 80970240.

The previous prime is 204003673. The next prime is 204003713. The reversal of 204003680 is 86300402.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16094 + ... + 25826.

It is an arithmetic number, because the mean of its divisors is an integer number (10118493).

Almost surely, 2204003680 is an apocalyptic number.

204003680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204003680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242843832).

204003680 is an abundant number, since it is smaller than the sum of its proper divisors (281683984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204003680 is a wasteful number, since it uses less digits than its factorization.

204003680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9879 (or 9871 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 204003680 is about 14282.9856822725. The cubic root of 204003680 is about 588.6800714214.

The spelling of 204003680 in words is "two hundred four million, three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 131 160 262 524 655 1048 1310 2096 2620 4192 5240 9733 10480 19466 20960 38932 48665 77864 97330 155728 194660 311456 389320 778640 1275023 1557280 2550046 5100092 6375115 10200184 12750230 20400368 25500460 40800736 51000920 102001840 204003680